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Lilit [14]
3 years ago
7

Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)​

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

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deff fn [24]
You can simplify it as...
3/6: Because that's 6/2 and 12/2, so the numerator and denominator recieve the same operations
2/4: Because it's 6/3 which = 2, and 12/4 which = 4
1/2: Because it's 6/6=1 and 12/6=2

I hope this helped! If you have any other questions, just ask, and I hope you have a great day! :)


3 0
3 years ago
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An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes m
inessss [21]

Answer:

\mathbf{ 0.6 \times 0.5 = 0.3 }

Step-by-step explanation:

Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.

It is given that P(M) = 0.6

Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event D | M^{c} (D given M does not occur) is a null event, i.e

P(D|M^{c}) = 0

It is also given that,

P(D|M) = 0.5

Recall that : P(D|M) = \frac{P(D \cap M)}{P(M)}

Here, we are required to find P(D \cap M)

P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3

7 0
3 years ago
Which equation shows the commutative property of addition?
kipiarov [429]

Answer:

C

Step-by-step explanation:

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a fountain in a pond has a pump that recirculates 75 gallons of water in 1/4 of an hour.express this rate as a unit rate in gall
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So if in 1/4 of an hour 75 gallons are pumped you would multiply 75 by four which will give you 300. This means 300 gallons are pumped in an hour
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